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This is a paper compiled by students of the 2008 Summer School on Particles, Fields, and Strings held at the University of British Columbia on lectures given by Veronika Hubeny as understood and interpreted by the authors. We start with an…

General Relativity and Quantum Cosmology · Physics 2008-10-21 Nicola Ambrosetti , James Charbonneau , Silke Weinfurtner

We investigate analytic solutions to Witten's bosonic string field theory and Berkovits' WZW-type superstring field theory. We construct solutions with parameters out of simpler ones, using a commutative monoid that includes the family of…

High Energy Physics - Theory · Physics 2008-11-26 Isao Kishimoto , Yoji Michishita

We analyze the chiral transport terms in relativistic superfluid hydrodynamics. In addition to the spontaneously broken symmetry current, we consider an arbitrary number of unbroken symmetries and extend the results of arXiv:1105.3733. We…

High Energy Physics - Theory · Physics 2013-12-12 Yasha Neiman , Yaron Oz

This paper considers steady surface waves `riding' a Beltrami flow (a three-dimensional flow with parallel velocity and vorticity fields). It is demonstrated that the hydrodynamic problem can be formulated as two equations for two scalar…

Analysis of PDEs · Mathematics 2021-03-17 Mark D. Groves , J. Horn

I present some applications of geometric flows in string theory and gravity. In some circumstances time evolution in string theory can be approximately identified with Ricci-flow parametric evolution of spatial sections. In four dimensions,…

High Energy Physics - Theory · Physics 2010-11-05 Marios Petropoulos

We derive an RG flow equation that is satisfied by the regularized partition function for noncritical strings in background fields. The flow refers to change in the position of a ``boundary'' in the liouville direction. The boundary is…

High Energy Physics - Theory · Physics 2009-10-31 Avinash Dhar , Spenta R. Wadia

String theory dynamics on certain fivebrane supertube backgrounds is described by an exactly solvable null-gauged WZW model. We use this description to compute the spectrum of closed string excitations on the three-charge non-supersymmetric…

High Energy Physics - Theory · Physics 2022-03-11 Emil J. Martinec , Stefano Massai , David Turton

We consider compressible pressureless fluid flows in Lagrangian coordinates in one space dimension. We assume that the fluid self-interacts through a force field generated by the fluid itself. We explain how this flow can be described by a…

Analysis of PDEs · Mathematics 2014-09-16 Yann Brenier , Wilfrid Gangbo , Giuseppe Savaré , Michael Westdickenberg

We discuss recent developments on the solution of the so-called supersymmetric mu-problem in the context of heterotic orbifolds. In particular, an approximate R symmetry can induce an admissible mu-term in Minkowski vacua of orbifold models…

High Energy Physics - Phenomenology · Physics 2014-11-20 Saul Ramos-Sanchez

We consider Witten's open string field theory in the presence of a non-trivial boundary of spacetime. For the kinetic term, we derive a Gibbons-Hawking-type contribution that has to be added to the action to guarantee a well-defined…

High Energy Physics - Theory · Physics 2025-05-29 Georg Stettinger

We show that the renormalization group flows of the massless superstring modes in the presence of fluctuating D-branes satisfy the equations of fluid dynamics.In particular, we show that the D-brane's U(1) field is related to the velocity…

High Energy Physics - Theory · Physics 2009-11-10 Dimitri Polyakov

In this work we investigate the existence of weak solutions for steady flows of generalized incompressible and homogeneous viscous fluids. The problem is modeled by the steady case of the generalized Navier-Stokes equations, where the…

Analysis of PDEs · Mathematics 2011-11-15 Hermenegildo Borges de Oliveira

We develop a method for computing the linearized gravitational backreaction for Nambu-Goto strings using a fully covariant formalism. We work with equations of motion expressed in terms of a higher dimensional analog of the geodesic…

General Relativity and Quantum Cosmology · Physics 2019-04-24 David F. Chernoff , Éanna É. Flanagan , Barry Wardell

We show how to generate non-trivial solutions to the conformally invariant, relativistic fluid dynamic equations by appealing to the Weyl covariance of the stress tensor. We use this technique to show that a recently studied solution of the…

High Energy Physics - Theory · Physics 2015-03-17 Steven S. Gubser , Amos Yarom

We prove that, in a two-dimensional strip, a steady flow of an ideal incompressible fluid with no stationary point and tangential boundary conditions is a shear flow. The same conclusion holds for a bounded steady flow in a half-plane. The…

Analysis of PDEs · Mathematics 2015-09-16 François Hamel , Nikolai Nadirashvili

J. Streets and G. Tian recently introduced symplectic curvature flow, a geometric flow on almost K\"ahler manifolds generalising K\"ahler-Ricci flow. The present article gives examples of explicit solutions to this flow of non-K\"ahler…

Symplectic Geometry · Mathematics 2012-02-08 Julian Pook

We consider the dynamics of confined strings embedded in a gapless four-dimensional theory. To this end, we examine finite-tension string-like solutions to the equations of motion of the $\mathbb{C}\mathbb{P}^1$ non-linear sigma model. We…

High Energy Physics - Theory · Physics 2026-02-23 Jeremias Aguilera Damia , Giovanni Galati , Giovanni Rizi

In this work, we study the nonlinear traveling waves in density stratified fluids with depth varying shear currents. Beginning the formulation of the water-wave problem due to [1], we extend the work of [4] and [18] to examine the interface…

Fluid Dynamics · Physics 2017-08-30 K. L. Oliveras , C. W. Curtis

We investigate classical strings defined by the Nambu-Goto action with the boundary term added. We demonstrate that the latter term has a significant bearing on the string dynamics. It is confirmed that new action terms that depend on…

High Energy Physics - Theory · Physics 2009-10-28 Leszek Hadasz , Pawel Wegrzyn

We study oscillating string solutions in the Klebanov-Witten and its non-Abelian T-dual background dualised along an SU(2) isometry. We find the string energy as the function of oscillation number and angular momentum. We show that for a…

High Energy Physics - Theory · Physics 2015-08-27 Pabitra M. Pradhan